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Titlebook: Generalized Functions and Fourier Analysis; Dedicated to Stevan Michael Oberguggenberger,Joachim Toft,Patrik Wahlb Book 2017 Springer Inte

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发表于 2025-3-21 16:43:22 | 显示全部楼层 |阅读模式
书目名称Generalized Functions and Fourier Analysis
副标题Dedicated to Stevan
编辑Michael Oberguggenberger,Joachim Toft,Patrik Wahlb
视频video
概述Gives and up-to-date overview on the convergence and joint progress of Generalized Functions and Fourier Analysis.Joint collaboration of IAGF, IGPDO and IGGF.Dedicated to Prof. Stevan Pilipovic
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Generalized Functions and Fourier Analysis; Dedicated to Stevan  Michael Oberguggenberger,Joachim Toft,Patrik Wahlb Book 2017 Springer Inte
描述.This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC..
出版日期Book 2017
关键词Generalized functions; Fourier analysis; time-frequency analysis; pseudodifferential operators; partial
版次1
doihttps://doi.org/10.1007/978-3-319-51911-1
isbn_softcover978-3-319-84776-4
isbn_ebook978-3-319-51911-1Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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发表于 2025-3-21 21:17:14 | 显示全部楼层
Generalized Functions and Fourier Analysis978-3-319-51911-1Series ISSN 0255-0156 Series E-ISSN 2296-4878
发表于 2025-3-22 03:36:16 | 显示全部楼层
Jerzy Urbanowicz,Kenneth S. Williamsn terms of the Schwartz’ bounded distributions, and we discuss their characterization in terms of convolution and of decomposition as a finite sum of derivatives of suitable functions. We also prove mapping properties under the action of a class of Fourier integral operators, with inhomogeneous phas
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Susan M. Sheridan,Thomas R. Kratochwillor the solutions. We first deal with the case . = 2, introducing a recent result about the blow-up phenomena for the solutions. Secondly, we deal with the general .-Laplacian case. In each case, we classify the parameters depending on the equations so that we can see when the solutions blow up or gl
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https://doi.org/10.1007/978-3-662-06395-8ounting functions of the generalized integers and primes, respectively. This was already considered by Nyman (Acta Math. 81 (1949), 299–307), but his article on the subject contains some mistakes. We also obtain an average version of this prime number theorem with remainders in the Cesàro sense.
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Venkatram Ramaswamy,Steven H. Cohenn, Heaviside, and Dirac to deal with generalized functions. They are set-theoretical functions defined on a natural non-Archimedean ring, and include Colombeau generalized functions (and hence also Schwartz distributions) as a particular case. One of their key property is the closure with respect to
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David B. Whitlark,Scott M. Smith–Skorokhod type with respect to fractional Brownian motion. The dynamics are driven by strongly continuous semigroups and the cost functional is quadratic. We use the fractional isometry mapping defined between the space of square integrable stochastic processes with respect to fractional Gaussian w
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